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Chapter 8: Q19 (page 415)

Circle Q has diameter AB炉. If Ais at point localid="1648631574175" -3,5and center is at2,3 . Find the coordinates of point B.

Short Answer

Expert verified

The coordinates of point B is7,1.

Step by step solution

01

Step 1. Write down the given information.

The given circle Qhas diameter AB, whose center is say O2,3and one end point isA-3,5.

02

Step 2. Concept used.

If a line segment has end-points atx1,y1andx2,y2then the midpoint of the segment has coordinates x1+x22,y1+y22.

03

Step 3. Calculation.

The coordinates of point B say h,kcan be evaluated by using the midpoint formula.

MidpointofAB=x1+x22,y1+y222,3=鈭�3+h2,5+k22=鈭�3+h2,3=5+k2h鈭�3=4,k+5=6h=7,k=1

.

04

Step 4. Conclusion.

The coordinates of point B is 7,1.

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